Toss chicken cubes in a bowl with oil, paprika, garlic powder, salt, and pepper until evenly coated.
Cook the chicken until golden and fully cooked using an air fryer at 400°F for 11–12 minutes, flipping halfway, or skillet over medium-high heat.
Toss the cooked chicken with half of the Bang Bang sauce. Set aside and keep warm.
Heat 1 tablespoon sesame oil in a large skillet or wok over high heat. Pour in beaten eggs seasoned with salt and gently scramble until soft curds form. Remove eggs and set aside.
Add remaining sesame oil to skillet. Sauté carrots, diced onion, and sliced green onions for about 5 minutes until softened and translucent.
Add minced garlic and cook for one more minute.
Add chilled rice to the skillet with vegetables. Break up clumps and stir-fry for 2–3 minutes until heated through and slightly toasted.
Return scrambled eggs to skillet. Add melted butter, lemon juice, soy sauce, and frozen peas. Stir well to combine and heat through.
Divide fried rice onto serving plates or bowls. Top with Bang Bang chicken and drizzle remaining sauce over the top. Garnish with extra green onions and serve hot.